The Elements of Euclid: With Select Theorems Out of ArchimedesJ. Senex ... W. and J. Innys ... and J. Osborn and T. Longman, 1727 - 239 σελίδες |
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Σελίδα iii
... meet to me when I was about to fet forth the Elements of the Mathematicks , to premise a few Things concerning the Rife and Excellency of this Science , that its Candidates may understand what a Kind of Science it is to which they are ...
... meet to me when I was about to fet forth the Elements of the Mathematicks , to premise a few Things concerning the Rife and Excellency of this Science , that its Candidates may understand what a Kind of Science it is to which they are ...
Σελίδα 2
... meet and touch one another . Note , that a fingle Angle is defigned by one Letter put at the Top : When there are more at one Point , they are defigned by three Letters , the middlemoft of which de- notes the Top of the Angle ; and many ...
... meet and touch one another . Note , that a fingle Angle is defigned by one Letter put at the Top : When there are more at one Point , they are defigned by three Letters , the middlemoft of which de- notes the Top of the Angle ; and many ...
Σελίδα 7
... meet with ( per 5.1 . 3. ) you must read it thus , ( by the 5th Propofi- fition of the 3d Book . ) The Figure is always to be fought amongst the Figures of that Book in which we are then converfant . The reft of the Citations are easy ...
... meet with ( per 5.1 . 3. ) you must read it thus , ( by the 5th Propofi- fition of the 3d Book . ) The Figure is always to be fought amongst the Figures of that Book in which we are then converfant . The reft of the Citations are easy ...
Σελίδα 19
... meet for the Sake of beginners to propound fome things here which are neceffary for Practice a- bout Angles . The Measure of an Angle is the Arch of a Circle , Fig . 41 . which is described from A , the Top of the Angle as the Centre ...
... meet for the Sake of beginners to propound fome things here which are neceffary for Practice a- bout Angles . The Measure of an Angle is the Arch of a Circle , Fig . 41 . which is described from A , the Top of the Angle as the Centre ...
Σελίδα 37
... meet ( e ) Per 31 . when it is produced unto Q. Then let a right Line .. drawn thro ' Q and O meet BR produced unto A. Which done , thro ' A draw AL parallel to OS , which AL let CO and QS meet when it is produc'd unto F and L ; the ...
... meet ( e ) Per 31 . when it is produced unto Q. Then let a right Line .. drawn thro ' Q and O meet BR produced unto A. Which done , thro ' A draw AL parallel to OS , which AL let CO and QS meet when it is produc'd unto F and L ; the ...
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The Elements of Euclid: With Select Theorems Out of Archimedes Archimedes,André Tacquet,Euclid Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2015 |
Συχνά εμφανιζόμενοι όροι και φράσεις
alfo alfo equal alſo Altitude Arch Archimedes Axis Bafe Baſe becauſe betwixt themſelves bifected Centre Circum circumfcrib'd Circumference confequently Conftruction conical Superficies conical Surfaces contain'd Coroll Corollary Cylinder defcrib'd defcribe demonftrated Diameter double drawn thro equal Angles equilateral Cone equilateral Triangle Euclid faid fame manner fcrib'd fecond felf fhall be equal fhew fhew'd Figure firft firſt folid Angle fome fore foregoing four right ftand fuppos'd given right Line greater hath Height Hypothefis infcrib'd infcribed Interfections leffer lefs likewife Line BC manifeft Mathematicks mean Proportional betwixt Meaſure Number oppofite pafs thro parallel Parallelepiped Parallelogram Pentagon perpendicular Plane Point Polygon Prifm Priſms Proclus produc'd PROP Propofition Pyramids Radius Rectangle right Angle right Line Scholium Segment Semidiameter Solid Sphere Square thefe Theorem theſe Thing thofe unto whatſoever whofe whole Superficies
Δημοφιλή αποσπάσματα
Σελίδα 21 - If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar.
Σελίδα xviii - A Scheme of the Solar Syftem, with the orbits of the planets and comets belonging thereto, defcribed from Dr. Halley's accurate Table of Comets, Philofoph.
Σελίδα xviii - Difcovery of Divine Truth : And of the Degree of Evidence that , ought to be expected in Divine Matters, 8vo.
Σελίδα xviii - Syllem briefly demonftrated. IV. Certain Obfervations drawn from that Syftem. V. Probable Conjectures of the Nature and Ufes of the feveral celeftial Bodies contain'd in the fame Syflem.
Σελίδα xviii - DHcovery of divine Truth, and of the degree of Evidence that ought to be expected in divine Matters. By William WbiftvK, MA Ibmetime Profeffor of the Mathematicks in the Univerfity of Cambridge.
Σελίδα 11 - Because the angle A is equal to the angle C, and the angle...
Σελίδα xviii - Bodies contained in the fame Syftem. VI.' Important Principles of NATURAL RELIGION Demonftrated from the foregoing Obfervations.
Σελίδα xix - How great a Geometrician art thou, O Lord! For while this Science has no Bounds, while there is for ever room for the Discovery of New Theorems, even by Human Faculties; Thou art acquainted with them all at one View, without any Chain of Consequences, without any Fatigue of Demonstrations.
Σελίδα 211 - Side next to the Diameter : and let the right Lines BH, CG, DF, join the Angles which are equally diftant from A. I fay that the...
Σελίδα 221 - Axis, is alfo given j it is manifeft that each of the Segments become known. Now both the foregoing, and all the reft of the Theorems which follow...